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Popular >

inverse of f(x)=-2cos(5x)

Solution

inverse

f (x) = - 2 cos (5 x)

Solution

\frac{arccos ( - \frac{x}{2} )}{5}

Solution steps

Solve for

cos (5 x), y = - 2 cos (5 x)

cos (5 x) = - \frac{y}{2}

cos (a) = b \Rightarrow a = arccos (b)

5 x = arccos (- \frac{y}{2})

Solve for

x, 5 x = arccos (- \frac{y}{2})

\frac{arccos ( - \frac{y}{2} )}{5}

Substitute

y = x

\frac{arccos ( - \frac{x}{2} )}{5}

Popular Examples

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f (x) = \frac{x - 2}{x ^{2} - 2 x - 3}

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=-2cos(5x) ?
The inverse of f(x)=-2cos(5x) is (arccos(-x/2))/5